activity
20142024
most citedSecond Order Differences of Cyclic Data and Applications in Variational Denoising

44 citations · 71 across the 7 of their papers we have counts for

collaborators

9 papers

cs.AI2024★ 2 cited

Generative AI Models: Opportunities and Risks for Industry and Authorities

Tobias Alt, Andrea Ibisch, Clemens Meiser +15

Generative AI models are capable of performing a wide variety of tasks that have traditionally required creativity and human understanding. During training, they learn patterns fro…

math.ST2019★ 21 cited

Alternatives to the EM Algorithm for ML-Estimation of Location, Scatter Matrix and Degree of Freedom of the Student- Distribution

Marzieh Hasannasab, Johannes Hertrich, Friederike Laus +1

In this paper, we consider maximum likelihood estimations of the degree of freedom parameter , the location parameter and the scatter matrix of the multivariate Student-…

math.NA2018

Recent Advances in Denoising of Manifold-Valued Images

Ronny Bergmann, Friederike Laus, Johannes Persch +1

Modern signal and image acquisition systems are able to capture data that is no longer real-valued, but may take values on a manifold. However, whenever measurements are taken, no…

math.NA2018

Multivariate Myriad Filters based on Parameter Estimation of Student- Distributions

Friederike Laus, Gabriele Steidl

The contribution of this study is twofold: First, we propose an efficient algorithm for the computation of the (weighted) maximum likelihood estimators for the parameters of the mu…

math.NA2017★ 1 cited

Nonlocal Myriad Filters for Cauchy Noise Removal

Friederike Laus, Fabien Pierre, Gabriele Steidl

The contribution of this paper is two-fold. First, we introduce a generalized myriad filter, which is a method to compute the joint maximum likelihood estimator of the location and…

cs.CV2016

A Nonlocal Denoising Algorithm for Manifold-Valued Images Using Second Order Statistics

Friederike Laus, Mila Nikolova, Johannes Persch +1

Nonlocal patch-based methods, in particular the Bayes' approach of Lebrun, Buades and Morel (2013), are considered as state-of-the-art methods for denoising (color) images corrupte…

math.NA2015

Transport between RGB Images Motivated by Dynamic Optimal Transport

Jan Henrik Fitschen, Friederike Laus, Gabriele Steidl

We propose two models for the interpolation between RGB images based on the dynamic optimal transport model of Benamou and Brenier [8]. While the application of dynamic optimal tra…

math.NA2015★ 3 cited

Dynamic Optimal Transport with Mixed Boundary Condition for Color Image Processing

Jan Henrik Fitschen, Friederike Laus, Gabriele Steidl

Recently, Papadakis et al. proposed an efficient primal-dual algorithm for solving the dynamic optimal transport problem with quadratic ground cost and measures having densities wi…

math.NA2014★ 44 cited

Second Order Differences of Cyclic Data and Applications in Variational Denoising

Ronny Bergmann, Gabriele Steidl, Friederike Laus +1

In many image and signal processing applications, as interferometric synthetic aperture radar (SAR), electroencephalogram (EEG) data analysis or color image restoration in HSV or L…